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Finding the Fourth Proportional to 164,824.32, 227,373.84 and 104,292.96

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Solution

The fourth proportional to 164,824.32, 227,373.84 and 104,292.96 is: 143,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,824.32 : 227,373.84 = 104,292.96 : x
  2. Step 2: Convert to fraction form
    164,824.32/227,373.84 = 104,292.96/x
  3. Step 3: Cross multiply
    164,824.32x = 227,373.84 × 104,292.96
  4. Step 4: Simplify right side
    164,824.32x = 23,713,490,800.17
  5. Step 5: Solve for x
    x = 23,713,490,800.17/164,824.32
  6. Step 6: Final answer
    x = 143,871.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.